11 citations · 15 across the 6 of their papers we have counts for
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math.OA2013★ 11 cited
Spectral Triples and Generalized Crossed Products
Olivier Gabriel, Martin Grensing
We give a construction allowing to lift spectral triples to crossed products by Hilbert bimodules. The spectral triple one obtains is a concrete unbounded representative of the Kas…
math.OA2013
Ergodic Actions and Spectral Triples
Olivier Gabriel, Martin Grensing
In this article, we give a general construction of spectral triples from certain Lie group actions on unital C*-algebras. If the group G is compact and the action is ergodic, we ac…
math.AT2013
Noncommutative stable homotopy theory
Martin Grensing
We construct Kasparov's bifunctor and -theory by stable homotopy theoretic methods. This is motivated by results concerning constructions of bivariant theories on more gene…